Row Reduction for a System of Two Linear Equations

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Linear Algebra: Find all solutions of the system of linear equations 2x - 3y = 2, -x + 2y = 1 using row reduction. We apply row operations to an augmented matrix.
  1. MathDoctorBob
  2. Mathematics
  3. linear
  4. algebra
  5. system
  6. equation
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Комментарии
Автор

You're welcome!. For the new problem, what other assumptions do we have?

MathDoctorBob
Автор

Yes. For a 3x3, we detour to the middle after fixing the lower left corner. For bigger matrices, it's better to think of as working down from the diagonal entries, left to right, and then reverse once above. I have videos for both 3x3 and 4x4. - Bob

MathDoctorBob
Автор

@TheAreid2 You're welcome, and thanks for the comment! I have a video on orthogonal complements. I'll pm the link. - Bob

MathDoctorBob
Автор

Dear Dr Bob. I tried to thank you last week for answering my maths question but gmail bounced my message. I would like to thank you again. I managed to answer the question using your advice.
I am wondering if u could help me solve
show that the vectors x=y+λv and w=u-λv have the same length.

Thanks in advance.

duyee
Автор

I figured that the two vectors must add up to zero because they are antiparallel vectors. I just dont know how to compute this all together.

duyee